JEST PAST PAPER 25-02-2023
JEST 5
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
- 6, 9, 11
- 6, 7, 8
- 6, 8, 10
- None of these
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Explanation
To find the Pythagorean triple with the smallest number being 6:Let's check the options:
1. 6² + 8² = 36 + 64 = 100 = 10²
So, 6, 8, 10 is a Pythagorean triple.
- 1/8
- 8
- 4
- None of these
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Explanation
The calculation is:log₂₄ 2^(1/2) = (1/2) / 4 = 1/8
Using the base-change identity:
logₐₙ aᵐ = m/n
Here, a = 2, m = 1/2, and n = 4:
log₂₄ 2^(1/2) = (1/2) / 4 = 1/8
- 50 cm
- 60 cm
- 70 cm
- None of these
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Explanation
Given:
Original length = 15 cm
Original area = 150 cm²
Original width = Area / Length
= 150 / 15
= 10 cm
New area = 1 1/3 times the original area
= 4/3 × 150
= 200 cm²
New length = New area / Width
= 200 / 10
= 20 cm
New perimeter = 2(Length + Width)
= 2(20 + 10)
= 2 × 30
= 60 cm
- 31 years
- 59 years
- 29 years
- None of these
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Explanation
Let's denote the ages of Ramiz, Shanil, and Jamil as R, S, and J respectively.Given:
1. (R + S) / 2 = 65
R + S = 130
2. (R + S + J) / 3 = 53
R + S + J = 159
Now, substitute R + S = 130 into the second equation:
130 + J = 159
J = 159 - 130
J = 29
- 15
- 10
- 12
- None of these
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Explanation
To find the number of days A and B take to complete the work together:A's rate = 1/20 (work per day)
B's rate = 1/30 (work per day)
Combined rate = A's rate + B's rate
= 1/20 + 1/30
= (3 + 2) / 60
= 5/60
= 1/12
So, A and B together can complete the work in 12 days.
- 20
- 25
- 28
- None of these
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Explanation
To find the loss percentage:
Cost Price (CP) = Rs. 120,000
Selling Price (SP) = Rs. 96,000
Loss = CP - SP = 120,000 - 96,000 = Rs. 24,000
Loss percentage = (Loss / CP) × 100
= (24,000 / 120,000) × 100
= 0.2 × 100
= 20%
- 4
- 8
- 2
- None of these
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Explanation
Let's calculate:1. 4^0.36
2. 16^0.07 = (4²)^0.07 = 4^(2*0.07) = 4^0.14
Now, multiply:
4^0.36 × 4^0.14 = 4^(0.36 + 0.14) = 4^0.5
4^0.5 = √4 = 2
- 3
- 9
- 27
- None of these
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Explanation
Let's calculate:
= 3⁰ = 1
= 3¹ × 3² = 3 × 9 = 27
= 1 + 27 - 1/3
= 9
- 6
- 10
- 3
- None of these
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Explanation
Let's solve for x:
x/2 + x/3 + x/6 = 10
To add these fractions, find a common denominator (6):
3x/6 + 2x/6 + x/6 = 10
6x/6 = 10
x = 10
- 5
- 10
- 15
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
Explanation
Let's simplify the expression:
√25^(3x) = √(5²)^(3x) = √(5^(6x)) = 5^(3x)
Now, divide by 5^(6x-2):
5^(3x) / 5^(6x-2) = 5^(3x - 6x + 2) = 5^(-3x + 2)
For this to equal one of the given options (5, 10, 15), let's see if -3x + 2 = 1 (for 5¹ = 5):
-3x + 2 = 1
-3x = -1
x = 1/3
Then, 5^(-3(1/3) + 2) = 5¹ = 5
